Professor Frank Nabarro insists that all senior physics majors take his notorious physics aptitude test. The test is so

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Professor Frank Nabarro insists that all senior physics majors
take his notorious physics aptitude test. The test is so tough that
anyone not going on to a career in physics has no hope of passing,
whereas 30% of the seniors who do go on to a career in physics
still fail the test. Further, 80% of all senior physics majors in
fact go on to a career in physics. Assuming that you fail the test,
what is the probability that you will not go on to a career in
physics? (Round your answer to four decimal places.) HINT [See
Example 3.]